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1427018012 = 2271726311399
BaseRepresentation
bin101010100001110…
…1001000100011100
310200110012000200222
41111003221010130
510410304034022
6353333540512
750235311240
oct12503510434
93613160628
101427018012
11672572832
12339aa4738
1319984b374
14d7746420
1585430242
hex550e911c

1427018012 has 48 divisors (see below), whose sum is σ = 3033676800. Its totient is φ = 573364992.

The previous prime is 1427018011. The next prime is 1427018017. The reversal of 1427018012 is 2108107241.

It is a super-3 number, since 3×14270180123 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1427018011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119489 + ... + 130887.

It is an arithmetic number, because the mean of its divisors is an integer number (63201600).

Almost surely, 21427018012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1427018012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516838400).

1427018012 is an abundant number, since it is smaller than the sum of its proper divisors (1606658788).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1427018012 is a wasteful number, since it uses less digits than its factorization.

1427018012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11690 (or 11688 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 1427018012 is about 37775.8919418192. The cubic root of 1427018012 is about 1125.8395082261.

The spelling of 1427018012 in words is "one billion, four hundred twenty-seven million, eighteen thousand, twelve".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 263 476 526 1052 1841 3682 4471 7364 8942 11399 17884 22798 31297 45596 62594 79793 125188 159586 193783 319172 387566 775132 1356481 2712962 2997937 5425924 5995874 11991748 20985559 41971118 50964929 83942236 101929858 203859716 356754503 713509006 1427018012